What is ((3+4i))/(5i) ?

The solution to ((3+4i))/(5i) is 4/5-3/5 i

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simplify ((3+4i))/(5i)

simplify

\frac{( 3 + 4 i )}{5 i}

\frac{4}{5} - \frac{3}{5} i

Solution steps

\frac{3 + 4 i}{5 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 3 + 4 i ) ( - i )}{5 i ( - i )}

Simplify

\frac{( 3 + 4 i ) ( - i )}{5 i ( - i )} : \frac{- 3 i + 4}{5}

= \frac{- 3 i + 4}{5}

Rewrite in standard complex form:

\frac{4}{5} - \frac{3}{5} i

= \frac{4}{5} - \frac{3}{5} i

21 6^{- \frac{2}{3}}

\frac{8 x}{12 x ^{2} y}

- 4 - (- 9)

25 x^{2} - 65 x - 30

(\frac{7}{3})^{2}